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54768256380 = 22335175966041
BaseRepresentation
bin110011000000011100…
…010100010101111100
312020100220010200201000
4303000130110111330
51344131133201010
641054333450300
73646131332565
oct630034242574
9166326120630
1054768256380
1121255286702
12a745940990
13521a8ab7c6
142917b0916c
1516582c17c0
hexcc071457c

54768256380 has 96 divisors (see below), whose sum is σ = 180413110080. Its totient is φ = 13745756160.

The previous prime is 54768256379. The next prime is 54768256391. The reversal of 54768256380 is 8365286745.

54768256380 is a `hidden beast` number, since 5 + 4 + 7 + 6 + 8 + 256 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2973841 + ... + 2992200.

It is an arithmetic number, because the mean of its divisors is an integer number (1879303230).

Almost surely, 254768256380 is an apocalyptic number.

It is an amenable number.

54768256380 is an abundant number, since it is smaller than the sum of its proper divisors (125644853700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54768256380 is a wasteful number, since it uses less digits than its factorization.

54768256380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966076 (or 5966068 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 54768256380 in words is "fifty-four billion, seven hundred sixty-eight million, two hundred fifty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 5966041 11932082 17898123 23864164 29830205 35796246 53694369 59660410 71592492 89490615 101422697 107388738 119320820 161083107 178981230 202845394 214777476 268471845 304268091 322166214 357962460 405690788 507113485 536943690 608536182 644332428 805415535 912804273 1014226970 1073887380 1217072364 1521340455 1610831070 1825608546 2028453940 2738412819 3042680910 3221662140 3651217092 4564021365 5476825638 6085361820 9128042730 10953651276 13692064095 18256085460 27384128190 54768256380